Solve 1/4+(-2)=1/2+1/4x

$$\frac { 1 } { 4 } + ( - 2 ) = \frac { 1 } { 2 } + \frac { 1 } { 4 } x$$

Solve for x

$$x=-9$$

Steps for Solving Linear Equation

Convert 2 to fraction \frac{8}{4}.

$$\frac{1}{4}-\frac{8}{4}=\frac{1}{2}+\frac{1}{4}x$$

Since \frac{1}{4} and \frac{8}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-8}{4}=\frac{1}{2}+\frac{1}{4}x$$

Subtract 8 from 1 to get -7.

$$-\frac{7}{4}=\frac{1}{2}+\frac{1}{4}x$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{2}+\frac{1}{4}x=-\frac{7}{4}$$

Subtract \frac{1}{2} from both sides.

$$\frac{1}{4}x=-\frac{7}{4}-\frac{1}{2}$$

Least common multiple of 4 and 2 is 4. Convert -\frac{7}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{1}{4}x=-\frac{7}{4}-\frac{2}{4}$$

Since -\frac{7}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{4}x=\frac{-7-2}{4}$$

Subtract 2 from -7 to get -9.

$$\frac{1}{4}x=-\frac{9}{4}$$

Multiply both sides by 4, the reciprocal of \frac{1}{4}.

$$x=-\frac{9}{4}\times 4$$

Cancel out 4 and 4.

$$x=-9$$